Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.3 Properties of Functions - 1.3 Assess Your Understanding - Page 74: 5

Answer

$x$-intercepts: $3$ and $-3$ $y$-intercept: $-9$

Work Step by Step

The $x$-intercepts of an equation can be obtained by plugging $y=0$ into the equation, then solving for $x$ in the resulting equation.. Here we'd have: $0=x^2-9$ $9=x^2$ $\pm\sqrt9=\sqrt{x^2}$ $\pm3=x$ Therefore there are two $x$-intercepts: $3$ and $-3$. The $y$-intercepts of an equation can be obtained by plugging $x=0$ into the equation then solving for $y$ in the resulting equation . Here we have: $y=(0)^2-9$ $y=-9$ Therefore the $y$-intercept: $-9$.
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